I call it similarity!

Geometry Level 3

Find the value of x x , if A B C D ABCD is a square. A line passes through B B intersects C D CD produced at E E , the side A D AD at F F and the diagonal A C AC at G G . And B G = 3 BG =3 , and G F = 1 GF =1 .


The answer is 8.

Puneet Pinku by Puneet Pinku , 20, India

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2 solutions

Ahmad Saad
Apr 8, 2017

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhishek Alva
Sep 2, 2016

i am desperate for the solution

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Look for similarity between triangle AGF and CGB to find the ratio of AG and CG. Then, use that ratio to find x after proving the similarity between the triangles, AGB and CGB.. Then solve for x in that linear equation in one variable. I hope you know what similarity is.

Puneet Pinku - 4 years, 9 months ago

thanks for your reply

abhishek alva - 4 years, 9 months ago

Have you solved it??

Puneet Pinku - 4 years, 9 months ago

i am not able to find out the similarity

abhishek alva - 4 years, 9 months ago

Okay I will post a solution tomorrow. Please wait!!

Puneet Pinku - 4 years, 9 months ago

ok i will wait

abhishek alva - 4 years, 9 months ago

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